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Finding the Third Proportional to 57,426 and 121,800

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Solution

The third proportional to 57,426 and 121,800 is: 258,336.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,426 : 121,800 = 121,800 : x
  2. Step 2: Convert to fraction form
    57,426/121,800 = 121,800/x
  3. Step 3: Cross multiply
    57,426x = 121,800 × 121,800
  4. Step 4: Simplify right side
    57,426x = 14,835,240,000
  5. Step 5: Solve for x
    x = 14,835,240,000/57,426
  6. Step 6: Final answer
    x = 258,336.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.